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We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient…

软凝聚态物质 · 物理学 2017-01-04 Sebastian Leitmann , Thomas Franosch

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

统计力学 · 物理学 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

We determine the nonlinear time-dependent response of a tracer on a lattice with randomly distributed hard obstacles as a force is switched on. The calculation is exact to first order in the obstacle density and holds for arbitrarily large…

统计力学 · 物理学 2013-11-07 Sebastian Leitmann , Thomas Franosch

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

We study the dynamics of a tracer particle subject to a constant driving force $E$ in a one-dimensional lattice gas of hard-core particles whose transition rates are symmetric. We show that the mean displacement of the driven tracer grows…

凝聚态物理 · 物理学 2009-10-28 S. F. Burlatsky , G. Oshanin , M. Morea , W. P. Reinhardt

We consider a tracer particle performing a random walk on a two-dimensional lattice in the presence of immobile hard obstacles. Starting from equilibrium, a constant force pulling on the particle is switched on, driving the system to a new…

统计力学 · 物理学 2024-09-05 Dan Shafir , Alessio Squarcini , Stanislav Burov , Thomas Franosch

We describe the random motion of a particle immersed in a thermally fluctuating medium and harmonically trapped at a certain distance from a wall. The medium, modeled by a Gaussian field with a tunable correlation length $\xi$, is linearly…

统计力学 · 物理学 2025-11-27 Marcin Piotr Pruszczyk , Andrea Gambassi

A non--linear diffusion equation is derived by taking into account hopping rates depending on the occupation of next neighbouring sites. There appears additonal repulsive and attractive forces leading to a changed local mobiltiy. The…

统计力学 · 物理学 2009-10-31 S. Artz , M. Schulz , S. Trimper

We introduce a fractional Fokker-Planck equation with a temporal power-law dependence on the drift force fields. For this case, the moments of the tracer from the force-force correlation in terms of the time-dependent drift force fields are…

统计力学 · 物理学 2007-05-23 Kyungsik Kim , Y. S. Kong

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

统计力学 · 物理学 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

The dynamics of a tracer particle in a glassy matrix of obstacles displays slow complex transport as the free volume approaches a critical value and the void space falls apart. We investigate the emerging subdiffusive motion of the test…

We study the position of a biased tracer particle (TP) in a bath of hardcore particles moving on a lattice of arbitrary dimension and in contact with a reservoir. Starting from the master equation satisfied by the joint probability of the…

统计力学 · 物理学 2015-12-09 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Raphaël Voituriez

We study the dynamics of a particle moving in one-dimensional Lorentz lattice-gas where particle performs mainly three different kinds of motion {\it viz} ballistic motion, diffusion and confinement. There are two different types of…

软凝聚态物质 · 物理学 2021-07-15 Sameer Kumar , Shradha Mishra

The classical dynamics of a particle that is driven by a rapidly oscillating potential (with frequency $\omega$) is studied. The motion is separated into a slow part and a fast part that oscillates around the slow part. The motion of the…

混沌动力学 · 物理学 2007-05-23 Saar Rahav , Eli Geva , Shmuel Fishman

We investigate the dynamics of a single tracer particle performing Brownian motion in a two-dimensional course of randomly distributed hard obstacles. At a certain critical obstacle density, the motion of the tracer becomes anomalous over…

软凝聚态物质 · 物理学 2010-11-19 Teresa Bauer , Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

Test particle transport determined by the Lorentz force in turbulent magnetized plasmas is studied. The time dependent diffusion coefficient, valid for the whole range of parameters, is obtained by developing the decorrelation trajectory…

等离子体物理 · 物理学 2015-06-26 M. Vlad , F. Spineanu

The dynamics and the steady states of a point-like tracer particle immersed in a confined critical fluid are studied. The fluid is modeled field-theoretically in terms of an order parameter (concentration or density field) obeying…

统计力学 · 物理学 2023-01-03 Markus Gross

We consider a driven tracer particle (TP) in a bath of hard-core particles undergoing continuous exchanges with a reservoir. We develop an analytical framework which allows us to go beyond the standard force-velocity relation used for this…

统计力学 · 物理学 2015-06-15 O. Bénichou , P. Illien , G. Oshanin , R. Voituriez

Forced advection of passive tracer, $\theta $, in nonlinear relaxational medium by large scale (Batchelor problem) incompressible velocity field at scales less than the correlation length of the flow and larger than the diffusion scale is…

chao-dyn · 物理学 2009-10-31 Michael Chertkov

We study the diffusion of a tracer particle, which moves in continuum space between a lattice of excluded volume, immobile non-inert obstacles. In particular, we analyse how the strength of the tracer-obstacle interactions and the volume…

软凝聚态物质 · 物理学 2014-12-24 Surya K. Ghosh , Andrey G. Cherstvy , Ralf Metzler
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